Accession Number:

ADA009396

Title:

Vector Lattices and Piecewise-Linear Programming.

Descriptive Note:

Research rept.,

Corporate Author:

TEXAS UNIV AT AUSTIN CENTER FOR CYBERNETIC STUDIES

Personal Author(s):

Report Date:

1975-03-01

Pagination or Media Count:

10.0

Abstract:

This paper exhibits a relationship between mathematical programming and the theory of vector lattices. In particular, for piecewise linear not necessarily convex programming a free vector lattice condition is shown to imply an equivalence to a linear programming problem. An extension to functions merely positively homogeneous is made as well as a vector lattice analog of the Farkas-Minkowski Theorem.

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE